Sentence examples similar to derive an equilibrium equation from inspiring English sources

Assuming that the total energy of the network depends on the shear between the fibers as well as their curvature and twist, we derive the equilibrium equations and discuss an application to a cylindrical shell made of inextensible helical fibers.

Specifically, upon deriving the equilibrium equation in the space of generalized functions, first it is seen that the original bending problem may be recast as linear superposition of a principal and an auxiliary bending problem, both involving a uniform reference beam and homogeneous boundary conditions.

We derive the equilibrium equations using curvilinear convective coordinates on NURBS tensor product surface patches.

Reissner's Mixed Variational Theorem is employed to derive the equilibrium equations and related boundary conditions.

Virtual displacement method based on nonlocal cylindrical piezoelasticity continuum shell theory is employed to derive the equilibrium equations.

The principle of virtual work in conjunction with the geometric mapping technique is used to derive the equilibrium equations and the related boundary conditions.

In order to derive the equilibrium equations of FML-FGM profiles, the full Green's strain tensor and the second Piola-Kirchhoff's stress tensor have been adapted.

In order to derive the equilibrium equations of functionally graded structures, the full Green's strain tensor and the second Piola Kirchhoff's stress tensor has been adapted.

After deriving the equilibrium equations a parametric study was carried out on simply supported beams.

We propose a theoretical framework to derive thermodynamically consistent equilibrium equations and kinetic driving forces to describe the time evolution for electrically and magnetically active materials.

Expressions for the pointwise tensions developing in the plane of the lattice are developed, and a rational procedure for deriving discrete equilibrium equations is discussed.